Title
Monitoring Bounded LTL Properties Using Interval Analysis
Abstract
Verification of temporal logic properties plays a crucial role in proving the desired behaviors of hybrid systems. In this paper, we propose an interval method for verifying the properties described by a bounded linear temporal logic. We relax the problem to allow outputting an inconclusive result when verification process cannot succeed with a prescribed precision, and present an efficient and rigorous monitoring algorithm that demonstrates that the problem is decidable. This algorithm performs a forward simulation of a hybrid automaton, detects a set of time intervals in which the atomic propositions hold, and validates the property by propagating the time intervals. A continuous state at a certain time computed in each step is enclosed by an interval vector that is proven to contain a unique solution. In the experiments, we show that the proposed method provides a useful tool for formal analysis of nonlinear and complex hybrid systems.
Year
DOI
Venue
2015
10.1016/j.entcs.2015.10.009
Electronic Notes in Theoretical Computer Science
Keywords
Field
DocType
Hybrid systems,interval analysis,linear temporal logic,bounded model checking
Discrete mathematics,Interval temporal logic,Algorithm,Linear temporal logic,Decidability,Temporal logic,Interval arithmetic,Hybrid system,Mathematics,Hybrid automaton,Bounded function
Journal
Volume
Issue
ISSN
abs/1506.01762
C
1571-0661
Citations 
PageRank 
References 
1
0.36
21
Authors
3
Name
Order
Citations
PageRank
Daisuke Ishii151.50
Naoki Yonezaki210720.02
Alexandre Goldsztejn316121.42